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Finding the Fourth Proportional to 139.97, 193.15 and 80.91

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Solution

The fourth proportional to 139.97, 193.15 and 80.91 is: 111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.97 : 193.15 = 80.91 : x
  2. Step 2: Convert to fraction form
    139.97/193.15 = 80.91/x
  3. Step 3: Cross multiply
    139.97x = 193.15 × 80.91
  4. Step 4: Simplify right side
    139.97x = 15,627.77
  5. Step 5: Solve for x
    x = 15,627.77/139.97
  6. Step 6: Final answer
    x = 111.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.